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Complex Fluids in a Multifractal Space: Scale Covariance and the Emergence of the Fractal Force [PDF]
EntropyComplex systems—ranging from biological organisms to turbulent fluids—exhibit multiscale heterogeneity and intermittency that traditional, differentiable calculus fails to adequately capture.
Dragos-Ioan Rusu +7 more
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Multifractal magnetoconductance fluctuations in mesoscopic systems [PDF]
Physical Review E, 2021 We perform a multifractal detrended fluctuation analysis of the magnetoconductance data of two standard types of mesoscopic systems: a disordered nanowire and a ballistic chaotic billiard, with two different lattice structures. We observe in all cases that multifractality is generally present and that it becomes stronger in the quantum regime of ...
N. L. Pessoa +3 more
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Time–space Distribution Characteristics of the Circum-Pacific Seismic Belt Based on Multifractal Analysis [PDF]
E3S Web of Conferences, 2021 A complete scientific system of earthquake prediction has yet to be developed, and most studies on the time–space sequence of seismic activity analysis are based on existing seismic models. By applying fractal theory with the two aspects of magnitude and
Xu Linfeng +4 more
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Tool Embodiment Is Reflected in Movement Multifractal Nonlinearity
Fractal and Fractional, 2022 Recent advances in neuroscience have linked dynamical systems theory to cognition. The main contention is that extended cognition relies on a unitary brain-body-tool system showing the expected signatures of interaction-dominance reflected in a ...
Yvan Pratviel +3 more
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Fractal and Fractional, 2022 The accurate determination of atmospheric temperature with telemetric platforms is an active issue, one that can also be tackled with the aid of multifractal theory to extract fundamental behaviors of the lower atmosphere, which can then be used to ...
Marius Mihai Cazacu +5 more
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Frontiers in Neurology, 2022 Movement variability reflects the adaptation of the neuromuscular control system to internal or external perturbations, but its relationship to stroke-induced injury is still unclear.
Pan Xu +6 more
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Multifractality of open quantum systems [PDF]
Physical Review E, 2019 16 pages, 12 figures; closest to published ...
Bilen, Agustín M. +3 more
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Multifractality in Quasienergy Space of Coherent States as a Signature of Quantum Chaos
Entropy, 2021 We present the multifractal analysis of coherent states in kicked top model by expanding them in the basis of Floquet operator eigenstates. We demonstrate the manifestation of phase space structures in the multifractal properties of coherent states.
Qian Wang, Marko Robnik
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Multifractality and its role in anomalous transport in the disordered XXZ spin-chain [PDF]
, 2020 The disordered XXZ model is a prototype model of the many-body localization transition (MBL). Despite numerous studies of this model, the available numerical evidence of multifractality of its eigenstates is not very conclusive due severe finite size ...
Khaymovich, Ivan M. +2 more
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Microcanonical multifractal formalism—a geometrical approach to multifractal systems: Part I. Singularity analysis [PDF]
Journal of Physics A: Mathematical and Theoretical, 2007 35 pages, 11 figures, 1 appendix Multifractal formalism in the microcanonical framework has proved to be a valuable approach to understand and analyze complex signals, typically associated with natural phenomena in scale invariant systems. In this paper, we discuss the multifractal microcanonical formalism in a comprehensive, unified way, including new
Turiel, Antonio +2 more
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